A Fourier restriction theorem based on convolution powers

DOI10.1090/S0002-9939-2014-12148-4zbMath1335.42004arXiv1211.6501MaRDI QIDQ3190392

Xianghong Chen

Publication date: 17 September 2014

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.6501

zbMATH Keywords

convolution powersFourier restriction

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Harmonic analysis in several variables (42B99)

Related Items (6)

On the sharpness of Mockenhaupt's restriction theorem ⋮ A Class of Random Cantor Measures, with Applications ⋮ Spatially independent martingales, intersections, and applications ⋮ Sets of Salem type and sharpness of the 𝐿²-Fourier restriction theorem ⋮ Sharpness of the Mockenhaupt–Mitsis–Bak–Seeger restriction theorem in higher dimensions ⋮ Endpoint Fourier restriction and unrectifiability

Cites Work

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• On the sharpness of Mockenhaupt's restriction theorem
• Extensions of the Stein-Tomas theorem
• Inequalities for strongly singular convolution operators
• A Universal Stein-Tomas Restriction Estimate for Measures in Three Dimensions
• On a theorem of Saeki concerning convolution squares of singular measures
• Convolution of a measure with itself and a restriction theorem
• Sharpness Results and Knapp’s Homogeneity Argument
• Salem sets and restriction properties of Fourier transforms
• A restriction theorem for the Fourier transform

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